The Cuban Mathematical Olympiads is a comprehensive collection of problems and detailed solutions from the Cuban National Mathematical Olympiad, covering nearly every year from 2001 to 2016. Written by Robert Bosch and published by XYZ Press, the book is widely praised by coaches and students as an essential resource for training for high-level competitions like the AIME, USAJMO, and the International Mathematical Olympiad (IMO). Core Content & Scope
Timeframe: The book compiles problems from the national competition for the years 2001 through 2016 (notably excluding 2002).
Problem Types: It features a "perfect blend of complexity" in core olympiad subjects, including number theory, combinatorics, geometry, and algebra.
Solution Depth: Unlike simple answer keys, the book provides "elegant solutions and illustrations" designed to teach specific problem-solving techniques. Reviewer Highlights
Skill Progression: Reviewers from AwesomeMath note that the problems are ideal for transitioning students from basic competition levels to more advanced IMO-style thinking. cuban mathematical olympiads pdf
Coaching Utility: Math coaches highlight the book as a "great resource" for expanding their problem collections, particularly for students aiming for successful participation in the AIME or USAJMO.
Unique Focus: Students particularly appreciate the book’s exercises involving minimum and maximum values, which are frequently tested in regional competitions. Access and Formats
Physical Book: Available through major retailers like Amazon and the AMS Bookstore.
PDF Previews: Official "Look Inside" previews containing the table of contents, preface, and sample problems can be found on sites like Scribd and the AwesomeMath website. Go to Google Scholar ( scholar
Alternative Resources: For those seeking older or specific single-year problems (e.g., 2005, 2011, or 2012), individual PDF sets are often uploaded to community platforms like Scribd or the AoPS Wiki.
Cuban Olympiad Problems and Solutions | PDF | Circle - Scribd
I searched for the exact term "cuban mathematical olympiads pdf" but could not locate a single, official PDF containing a complete collection of all Cuban Mathematical Olympiad problems in English or Spanish online for free in a stable, permanent file.
However, here are the most reliable pathways to find authentic problems (with PDFs or directly usable text): Sample Problem from a Cuban National Olympiad PDF
scholar.google.com)."Olimpiada Matemática" Cuba "Problemas" filetype:pdf.To illustrate the quality, here is a classic problem translated from a 2015 PDF:
Problem (12th Grade – Final Nacional): Let $ABC$ be an acute triangle with circumcenter $O$. The altitude from $A$ meets $BC$ at $D$. The line through $D$ parallel to $AO$ meets $AB$ at $E$ and $AC$ at $F$. Prove that $OE = OF$.
Why this is a "Cuban" problem: It blends geometry (altitudes, circumcenters) with analytic parity (proving symmetry via parallel lines). It does not require heavy computation—only elegant synthetic reasoning. This is the hallmark of the Cuban school.
The unofficial official archive lives on personal pages of retired professors. The most famous collection is hosted by José H. Nieto (University of Zulia) and mirrors of the Sociedad Cubana de Matemática y Computación. Look for URLs containing cubano or matematica.cu.
Key search string: "Problemas de la Olimpiada Cubana" filetype:pdf